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blagie [28]
3 years ago
8

The life of a semiconductor laser at a constant power is normally distributed with a mean of 7,000 hours and a standard deviatio

n of 600 hours. If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is closest to
Mathematics
1 answer:
Scrat [10]3 years ago
7 0

This question not incomplete

Complete Question

The life of a semiconductor laser at a constant power is normally distributed with a mean of 7,000 hours and a standard deviation of 600 hours. If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is closest to? Assuming percentile = 95%

Answer:

0.125

Step-by-step explanation:

Assuming for 95%

z score for 95th percentile = 1.645

We find the Probability using z table.

P(z = 1.645) = P( x ≤ 7000)

= P(x<Z) = 0.95

After 7000 hours = P > 7000

= 1 - P(x < 7000)

= 1 - 0.95

= 0.05

If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is calculated as:

(P > 7000)³

(0.05)³ = 0.125

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Q8: These Triangles are similar. What is the value of X?
Umnica [9.8K]

Answer:

The answer to your question is x = 15

Step-by-step explanation:

Use proportions to solve this problem

                              \frac{x}{20} = \frac{12}{16}

Solve for "x"

                                          x = \frac{12(20)}{16}

Simplification

                                          x = \frac{240}{16}

Result

                                         x = 15                                                  

3 0
3 years ago
Which is the graph of f(x) = log3x?.
valentinak56 [21]

Logarithm functions are the inverses of the exponential function the graph of the given function is attached in the given image.

The points for the given function are (1,0) (3,1) and (9,2)

Given that

Function; \rm  f(x) = log3x

We have to determine

The graph of the function f(x).

According to the question

The logarithmic function is the inverse of the exponential function.

Function; \rm  f(x) = log_3x

To plot the graph of the given function we have to find the asymptotes;

Vertical asymptote at x =0

The point at x= 1 is,

\rm f(1) = log_3(1)\\\\f(1)=log_33\\\\f(1)=1

The point at x= 3 is,

\rm f(3) = log_3(3)\\\\f(3)=log_33\\\\f(3)=1

The point at x= 9 is,

\rm f(9) = log_3(9)\\\\f(9)=3log_33\\\\f(9)=3\times 1\\\\ f(9)=3

Hence, the points for the given function are (1,0) (3,1) and (9,2).

To know more about the Exponential function given below.

brainly.com/question/3653847

5 0
2 years ago
Name
Tpy6a [65]

Answer:

1. A container of milk 2L

2. An Eyedropper has 1 mL

3. A cup of punch 250 mL

4. A jar of pickles 500mL

Step-by-step explanation:

Without even measuring, just think of this problem logically. Remember that a 1 L is 1000mL, so it is 1000 times more than 1 mL.

A milk container would hold more than a cup of milk and that is more than 20 mL. The most logical answer would be 2L.

An eyedropper can hold just a little amount of liquid. Just think that it dispenses liquid in drops, the best answer would be 1mL (which is actually an estimate of the volume of a drop is.)

A cup of punch is about 250 mL. The keyword there is a CUP and 25L is a big amount and the cup would have to be HUGE.

Same as above, the keyword there is a jar. A 50L jar would be a very big amount for just a jar of pickles.

8 0
3 years ago
Rewrite the rarional exponent as a radical by extending the properties of integer exponents
Nataly_w [17]

Answer: C

Step-by-step explanation:

Simplify the expression to 2^1/4

Now transform the expression using a^m/n = n root a raised to a power of m.

And that's how you get your answer.

3 0
3 years ago
How o I get the awnser to 9s+3=57 I need help asap im in 8th grade
PIT_PIT [208]
First subtract 3 from both sides of the equal sign. 
9s + 3 = 57
      - 3     -3
9s = 54

Then divide both sides by 9.
9s = 54
/9     /9
s = 6

You can check it by plugging it back into the equation.
9s + 3 = 57
9 * 6  + 3= 57
54 + 3 = 37
57 = 57
Yep! It's correct! :)

Hope that helped. Algebra can be tricky sometimes I know but it's really just balancing equations. 
3 0
3 years ago
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